711041 ÷ 81 
The aim is to understand the frequency of 81 in 711041.

Step 1:
The number 81 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 81

Let's proceed to step 2:
81 can be fit into 71 0 times, resulting in a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Bring next digit (1) of the dividend behind the 71 and repeat the process: 711 / 81

Let's proceed to step 3:
81 goes into 711 8 times with a remainder of 63.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we take 648 away from 711, we end up with 63.
Grab the next digit (0) from the dividend, add it to 63, then carry on: 630 / 81

Going ahead to step 4:
81 goes into 630 7 times with a remainder of 63.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
If we take 567 away from 630, we end up with 63.
Grab the next digit (4) from the dividend, add it to 63, then carry on: 634 / 81

Going ahead to step 5:
The number 81 fits into 634 7 times, leaving a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 877.0
Subtract 567 from 634 to get 67.
Bring next digit (1) of the dividend behind the 67 and repeat the process: 671 / 81

Step 6:
The number 81 fits into 671 8 times, leaving a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 8778.0
If we subtract 648 from 671, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
230 divided by 81 is 2 with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 8778.2
If we take 162 away from 230, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 8:
81 can be fit into 680 8 times, resulting in a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8778.28
If we take 648 away from 680, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
If we divide 320 by 81, we get 3 and a remainder of 77.
The number 3 becomes the next digit in our result. 
Result so far: 8778.283
If we take 243 away from 320, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 10:
81 goes into 770 9 times with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 8778.2839
Subtract 729 from 770 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
81 goes into 410 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 8778.28395
The remainder is 5 after subtracting 405 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
When dividing 50 by 81, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 8778.28395
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
81 can be fit into 500 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 8778.2839506
If we subtract 486 from 500, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
140 divided by 81 is 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 8778.28395061
Subtract 81 from 140 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

After the division, we end up with 8778.28395061 and a remainder of 5.9e-08.